Question

Please help with math (30 points)

Answer 1

Here we have some problems about circles, the solutions are:

• a) 490.6 yd^2
• b) x = 15
• c) x = 27

How to find the area of a circle?

We know that for a circle of diameter D, the area is given by:

A = pi*(D/2)^2

where pi = 3.14

In the image we can see that the diameter of the circle is 25 yd, replacing that in the area equation we get:

A = 3.14*(25yd/2)^2 = 490.6 yd^2

How to find the value of x?

For the second image, each line creates two 180° angles. So, if we look at the tilted line, we can see that it is divided in two angles, one of 37° and the other that depends of x, so we can write:

180° = 37° + (9x + 8)°

180° - 37° - 8°  = (9x)°

135°/9° = x = 15

So the value of x is 15.

For the last image:

Notice that we have a 90° angle denoted, then the other 3 sections must add up to 270°.

270° = 54° + (2x + 21)° + (5x + 6)°

Now we solve this for x:

270 - 54 - 21 - 6 = 2x + 5x

189 = 7x

189/7 = x = 27

x is equal to 27

If you want to learn more about circles, you can read:

brainly.com/question/25306774